{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f543e1cef50>]"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "import matplotlib as mpl\n",
    "\n",
    "x = np.arange(-10,10.1,1)\n",
    "y = np.sin(x)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(x, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### matplotlib在x、y轴上默认预留了5%的空白，可以通过margins()函数来查看"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.1"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "2*0.05"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.05, 0.05)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ax.margins()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在 `matplotlib` 中，`margins` 函数用于设置或检索轴的自动缩放边距。这个函数可以控制图表的自动缩放行为，通过添加额外的空白区域到图表的边缘，使得数据点不会紧贴边缘，从而提高图表的可读性。\n",
    "\n",
    "以下是 `margins` 函数的一些关键点：\n",
    "\n",
    "1. **参数**:\n",
    "   - `*margins`: 可以提供一个或两个浮点数，分别代表 x 轴和 y 轴的边距。如果只提供一个值，则 x 轴和 y 轴将使用相同的边距。\n",
    "   - `x`, `y`: 可以单独设置 x 轴和 y 轴的边距值。这些参数不能与位置参数一起使用。\n",
    "   - `tight`: 布尔值，如果设置为 `True`，则在设置边距后不会额外添加空白以匹配刻度线。如果设置为 `None`，则保持之前的设置。\n",
    "\n",
    "2. **返回值**:\n",
    "   - 函数返回 x 轴和 y 轴的边距值。\n",
    "\n",
    "3. **使用场景**:\n",
    "   - 当你希望图表的某些部分不被裁剪，或者希望在图表边缘留出更多空间时，可以使用 `margins` 函数。\n",
    "   - 在某些绘图方法（如 `pcolor`）之后，轴的边缘可能会变得“粘性”，这意味着它们不容易被 `margins` 函数改变。在这种情况下，需要将 `use_sticky_edges` 设置为 `False`。\n",
    "\n",
    "4. **示例代码**:\n",
    "   ```python\n",
    "   import matplotlib.pyplot as plt\n",
    "\n",
    "   # 示例数据\n",
    "   x = [1, 2, 3, 4, 5]\n",
    "   y = [i**2 for i in x]\n",
    "\n",
    "   # 创建图表并绘制数据\n",
    "   plt.plot(x, y)\n",
    "\n",
    "   # 设置边距\n",
    "   plt.margins(x=0.1, y=0.1)\n",
    "\n",
    "   # 显示图表\n",
    "   plt.show()\n",
    "   ```\n",
    "\n",
    "5. **注意事项**:\n",
    "   - 边距值应该是在 0 到 1 之间的浮点数，表示相对于数据区间的比例。\n",
    "   - 如果边距设置为 0，则图表的边缘将尽可能紧密地贴合数据。\n",
    "   - 边距值大于 0 将导致图表边缘与数据之间的空间增加，从而“放大”视图。\n",
    "\n",
    "通过使用 `margins` 函数，你可以更精细地控制 `matplotlib` 图表的布局，使其更加美观和易于阅读。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(-10,10.1,1)\n",
    "y = np.sin(x)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(x, y)\n",
    "ax.margins(0,0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ax.margins(0,0) 表示不预留空间，即紧贴边缘"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(-10,10.1,1)\n",
    "y = np.sin(x)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(x, y)\n",
    "ax.margins(0.5,0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ax.margins(0.5,0.5)，在x轴上，总长度20*0.5=10，即x轴左右各空出10个单位，y轴同理"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(-10,10.1,1)\n",
    "y = np.sin(x)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(x, y)\n",
    "ax.margins(x=2000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'margins(0.2)')"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-2 * np.pi, 2 * np.pi, 100)\n",
    "xx, yy = np.meshgrid(x, x)\n",
    "zz = np.sinc(np.sqrt((xx - 1)**2 + (yy - 1)**2))\n",
    "\n",
    "fig, ax = plt.subplots(ncols=2, figsize=(12, 8))\n",
    "ax[0].imshow(zz)\n",
    "ax[0].set_title(\"default margins\")\n",
    "ax[1].imshow(zz)\n",
    "ax[1].margins(0.2)\n",
    "ax[1].set_title(\"margins(0.2)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.2, 0.2)"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ax[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'default use_sticky_edges\\nmargins(-0.2)')"
      ]
     },
     "execution_count": 91,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1152x720 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(ncols=3, figsize=(16, 10))\n",
    "ax[0].imshow(zz)\n",
    "ax[0].margins(0.2)\n",
    "ax[0].set_title(\"default use_sticky_edges\\nmargins(0.2)\")\n",
    "\n",
    "ax[1].imshow(zz)\n",
    "ax[1].margins(0.2)\n",
    "ax[1].use_sticky_edges = False\n",
    "ax[1].set_title(\"use_sticky_edges=False\\nmargins(0.2)\")\n",
    "\n",
    "\n",
    "ax[2].imshow(zz)\n",
    "ax[2].margins(-0.2)\n",
    "ax[2].set_title(\"default use_sticky_edges\\nmargins(-0.2)\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在 `matplotlib` 中，`use_sticky_edges` 是一个属性，它控制着图表的轴边缘是否应该被某些绘图方法“粘住”，即是否应该被锁定在特定的数据极限上。这个属性通常与 `margins` 函数一起使用。\n",
    "\n",
    "#### 什么是“粘性边缘”（Sticky Edges）？\n",
    "\n",
    "在 `matplotlib` 中，某些绘图方法（如 `imshow`、`pcolor`、`pcolormesh` 等）会默认设置轴的边缘为“粘性”，这意味着它们会强制轴的极限与数据的极限紧密对齐，以确保数据不会被边距或轴的限制所裁剪。这种行为在处理图像或网格数据时特别有用，因为它可以确保整个数据区域都被显示出来。\n",
    "\n",
    "#### `use_sticky_edges` 属性的作用：\n",
    "\n",
    "- **默认值**：通常，默认情况下，`use_sticky_edges` 属性是启用的（设置为 `True`），这意味着如果你使用上述提到的绘图方法，轴的边缘将被“粘住”。\n",
    "\n",
    "- **禁用粘性边缘**：如果你希望使用 `margins` 函数来设置轴的边距，而不是让轴的边缘紧贴数据，你可以将 `use_sticky_edges` 设置为 `False`。这样，`margins` 函数就可以自由地调整轴的极限，添加额外的空白区域，而不受数据极限的限制。\n",
    "\n",
    "#### 示例代码：\n",
    "\n",
    "```python\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# 创建一些数据\n",
    "data = np.random.rand(10, 10)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.imshow(data, cmap='viridis')  # 使用imshow绘制数据\n",
    "\n",
    "# 默认情况下，imshow会使得轴边缘“粘性”\n",
    "# 现在我们禁用粘性边缘\n",
    "ax.use_sticky_edges = False\n",
    "\n",
    "# 设置边距\n",
    "ax.margins(x=0.1, y=0.1)\n",
    "\n",
    "plt.show()\n",
    "```\n",
    "\n",
    "在这个例子中，如果我们不将 `use_sticky_edges` 设置为 `False`，那么 `ax.margins(x=0.1, y=0.1)` 的调用将不会有任何效果，因为 `imshow` 已经将轴的边缘设置为“粘性”，强制它们紧贴数据。\n",
    "\n",
    "#### 注意事项：\n",
    "\n",
    "- 当你禁用了 `use_sticky_edges` 后，如果你再次使用具有“粘性边缘”效果的绘图方法，`matplotlib` 可能会自动将 `use_sticky_edges` 重新设置为 `True`。\n",
    "- 在某些情况下，你可能需要在每次绘图之后显式地设置 `use_sticky_edges` 属性，以确保它符合你的布局需求。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-2 * np.pi, 2 * np.pi, 100)\n",
    "y = np.sinc(x)\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(5, 4))\n",
    "ax.plot(x, y)\n",
    "ax.plot(x + np.pi * 0.5, y)\n",
    "ax.set_xlim(-1,1)\n",
    "#ax.set_xlim((-1,1))\n",
    "#ax.set_xlim([-1,1])\n",
    "#ax.set_xlim(left=-1,right=1)\n",
    "#ax.set(xlim=(-1,1))\n",
    "ax.autoscale()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'set_xlim(left=-1, right=1)\\nautoscale()')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(ncols=2, figsize=(5, 4))\n",
    "ax[0].plot(x, y)\n",
    "ax[0].set_xlim(left=-1, right=1)\n",
    "ax[0].plot(x + np.pi * 0.5, y)\n",
    "ax[0].set_title(\"set_xlim(left=-1, right=1)\\n\")\n",
    "\n",
    "ax[1].plot(x, y)\n",
    "ax[1].set_xlim(left=-1, right=1)\n",
    "ax[1].plot(x + np.pi * 0.5, y)\n",
    "ax[1].autoscale()\n",
    "ax[1].set_title(\"set_xlim(left=-1, right=1)\\nautoscale()\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 设定xlim或ylim后，autoscale变成False,默认是True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ax[0].get_autoscale_on()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ax[1].get_autoscale_on()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(0, 1)\n",
      "(1, 2)\n"
     ]
    }
   ],
   "source": [
    "for i in enumerate([1,2]):\n",
    "    print(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 165,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.axis.YTick at 0x22be9a04508>,\n",
       " <matplotlib.axis.YTick at 0x22be9a005c8>,\n",
       " <matplotlib.axis.YTick at 0x22be99e15c8>]"
      ]
     },
     "execution_count": 165,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 388.8x388.8 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.ticker as ticker\n",
    "\n",
    "fig, ax = plt.subplots( figsize=(5.4, 5.4), layout='constrained')\n",
    "ax.plot(np.arange(0,100.1,1),np.arange(0,100.1,1))\n",
    "ax.set_xticks([i for i in range(0,101,30)])\n",
    "ax.set_yticks([i for i in range(0,101,40)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 171,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.axis.XTick at 0x22bea1df148>,\n",
       " <matplotlib.axis.XTick at 0x22bea1d9648>,\n",
       " <matplotlib.axis.XTick at 0x22bea1d4248>,\n",
       " <matplotlib.axis.XTick at 0x22bea213648>]"
      ]
     },
     "execution_count": 171,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 388.8x388.8 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots( figsize=(5.4, 5.4), layout='constrained')\n",
    "ax.plot(np.arange(0,100.1,1),np.arange(0,100.1,1))\n",
    "xticks=[0,30,60,90]\n",
    "ax.set_xticks(xticks,labels=[str(i)+\"$\" for i in xticks ])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 184,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.axis.YTick at 0x22bee399608>,\n",
       " <matplotlib.axis.YTick at 0x22bee376808>,\n",
       " <matplotlib.axis.YTick at 0x22bee3c1948>,\n",
       " <matplotlib.axis.YTick at 0x22bee3c1a48>,\n",
       " <matplotlib.axis.YTick at 0x22bee3c4788>,\n",
       " <matplotlib.axis.YTick at 0x22bee3c8488>,\n",
       " <matplotlib.axis.YTick at 0x22bee3cc1c8>,\n",
       " <matplotlib.axis.YTick at 0x22bee3d12c8>,\n",
       " <matplotlib.axis.YTick at 0x22bee3ccb08>,\n",
       " <matplotlib.axis.YTick at 0x22bee3d4b48>,\n",
       " <matplotlib.axis.YTick at 0x22bee3c8648>,\n",
       " <matplotlib.axis.YTick at 0x22bee3d9388>,\n",
       " <matplotlib.axis.YTick at 0x22bee3dc0c8>,\n",
       " <matplotlib.axis.YTick at 0x22bee3df1c8>,\n",
       " <matplotlib.axis.YTick at 0x22bee3dfb08>,\n",
       " <matplotlib.axis.YTick at 0x22bee3e5848>,\n",
       " <matplotlib.axis.YTick at 0x22bee3ea588>,\n",
       " <matplotlib.axis.YTick at 0x22bee3d9ac8>,\n",
       " <matplotlib.axis.YTick at 0x22bee3ef348>,\n",
       " <matplotlib.axis.YTick at 0x22bee3efc88>,\n",
       " <matplotlib.axis.YTick at 0x22bee3f19c8>,\n",
       " <matplotlib.axis.YTick at 0x22bee3f5708>,\n",
       " <matplotlib.axis.YTick at 0x22bee3f8448>,\n",
       " <matplotlib.axis.YTick at 0x22bee3ff188>,\n",
       " <matplotlib.axis.YTick at 0x22bee3f8d88>,\n",
       " <matplotlib.axis.YTick at 0x22bee3ffb88>,\n",
       " <matplotlib.axis.YTick at 0x22bee402908>,\n",
       " <matplotlib.axis.YTick at 0x22bee405688>,\n",
       " <matplotlib.axis.YTick at 0x22bee40a408>,\n",
       " <matplotlib.axis.YTick at 0x22bee40e188>,\n",
       " <matplotlib.axis.YTick at 0x22bee4122c8>,\n",
       " <matplotlib.axis.YTick at 0x22bee40eb08>,\n",
       " <matplotlib.axis.YTick at 0x22bee412a08>,\n",
       " <matplotlib.axis.YTick at 0x22bee416788>,\n",
       " <matplotlib.axis.YTick at 0x22bee41a508>,\n",
       " <matplotlib.axis.YTick at 0x22bee41e288>,\n",
       " <matplotlib.axis.YTick at 0x22bee422348>,\n",
       " <matplotlib.axis.YTick at 0x22bee41ec08>,\n",
       " <matplotlib.axis.YTick at 0x22bee4226c8>,\n",
       " <matplotlib.axis.YTick at 0x22bee426488>,\n",
       " <matplotlib.axis.YTick at 0x22bee42a488>,\n",
       " <matplotlib.axis.YTick at 0x22bee42f1c8>,\n",
       " <matplotlib.axis.YTick at 0x22bee434308>,\n",
       " <matplotlib.axis.YTick at 0x22bee42fb48>,\n",
       " <matplotlib.axis.YTick at 0x22bee437a08>,\n",
       " <matplotlib.axis.YTick at 0x22bee42ff88>,\n",
       " <matplotlib.axis.YTick at 0x22bee43d288>,\n",
       " <matplotlib.axis.YTick at 0x22bee440308>,\n",
       " <matplotlib.axis.YTick at 0x22bee443088>,\n",
       " <matplotlib.axis.YTick at 0x22bee4481c8>,\n",
       " <matplotlib.axis.YTick at 0x22bee448b48>]"
      ]
     },
     "execution_count": 184,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 388.8x388.8 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots( figsize=(5.4, 5.4), layout='constrained')\n",
    "ax.plot(np.arange(0,100.1,1),np.arange(0,100.1,1))\n",
    "ax.set_yticks(np.arange(0,100.1,20))\n",
    "ax.set_yticks(np.arange(0,100.1,2),minor=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 190,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.ticker as ticker\n",
    "fig, ax = plt.subplots(layout='constrained')\n",
    "ax.xaxis.set_major_locator(ticker.NullLocator())\n",
    "ax.xaxis.set_minor_locator(ticker.NullLocator())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 194,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.ticker as ticker\n",
    "fig, ax = plt.subplots(layout='constrained')\n",
    "ax.xaxis.set_major_locator(ticker.MultipleLocator(0.5))\n",
    "ax.xaxis.set_minor_locator(ticker.MultipleLocator(0.1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### MultipleLocator(0.5)，表示在x轴上，每隔0.5取一个刻度"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 230,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbgAAAEoCAYAAAAqrOTwAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/NK7nSAAAACXBIWXMAAAsTAAALEwEAmpwYAAAPHElEQVR4nO3dcYzkZ13H8c+XHoVYEIo9E9Jr4YiH5TAmLZtKQiJVarjW5E6DmruECKRyRimaQExKMMWUf0QSSYhVOJUgJLaW/mGOeKQSKCExHnYboNJrCseB9E6THm0lMQ2txa9/7FSn29vu7O7sbe/p65VMOvObZ2ee2ae/e3dmfvdrdXcAYDTP2+oJAMBmEDgAhiRwAAxJ4AAYksABMCSBA2BIqwauqj5RVQ9W1TdWuL+q6qNVdbyq7qmqK+Y/TQBYm1newX0yyZ5nuP+aJLsml4NJ/mLj0wKAjVk1cN395SQPP8OQfUk+1UuOJnlpVb18XhMEgPWYx3dwFyd5YOr2yck2ANgy287mk1XVwSx9jJkLLrjgdZdddtnZfHoAzgF3333397t7+0YfZx6BO5XkkqnbOybbnqa7DyU5lCQLCwu9uLg4h6cHYCRV9W/zeJx5fER5OMlvTo6mfH2SH3T3f8zhcQFg3VZ9B1dVtyS5KslFVXUyyQeSPD9JuvtjSY4kuTbJ8SSPJnnHZk0WAGa1auC6+8Aq93eSd81tRgAwB85kAsCQBA6AIQkcAEMSOACGJHAADEngABiSwAEwJIEDYEgCB8CQBA6AIQkcAEMSOACGJHAADEngABiSwAEwJIEDYEgCB8CQBA6AIQkcAEMSOACGJHAADEngABiSwAEwJIEDYEgCB8CQBA6AIQkcAEMSOACGJHAADEngABiSwAEwJIEDYEgCB8CQBA6AIQkcAEMSOACGJHAADEngABiSwAEwJIEDYEgCB8CQBA6AIQkcAEOaKXBVtaeq7q+q41V1wxnuv7Sq7qyqr1bVPVV17fynCgCzWzVwVXVekpuTXJNkd5IDVbV72bA/THJbd1+eZH+SP5/3RAFgLWZ5B3dlkuPdfaK7H09ya5J9y8Z0kh+fXH9Jkn+f3xQBYO22zTDm4iQPTN0+meTnlo35oyT/WFXvTnJBkqvnMjsAWKd5HWRyIMknu3tHkmuTfLqqnvbYVXWwqharavH06dNzemoAeLpZAncqySVTt3dMtk27LsltSdLd/5zkhUkuWv5A3X2ouxe6e2H79u3rmzEAzGCWwN2VZFdV7ayq87N0EMnhZWO+l+RNSVJVr8lS4LxFA2DLrBq47n4iyfVJ7khyX5aOlry3qm6qqr2TYe9N8s6q+nqSW5K8vbt7syYNAKuZ5SCTdPeRJEeWbbtx6vqxJG+Y79QAYP2cyQSAIQkcAEMSOACGJHAADEngABiSwAEwJIEDYEgCB8CQBA6AIQkcAEMSOACGJHAADEngABiSwAEwJIEDYEgCB8CQBA6AIQkcAEMSOACGJHAADEngABiSwAEwJIEDYEgCB8CQBA6AIQkcAEMSOACGJHAADEngABiSwAEwJIEDYEgCB8CQBA6AIQkcAEMSOACGJHAADEngABiSwAEwJIEDYEgCB8CQBA6AIQkcAEMSOACGJHAADGmmwFXVnqq6v6qOV9UNK4z5jao6VlX3VtXfzneaALA221YbUFXnJbk5yS8lOZnkrqo63N3HpsbsSvK+JG/o7keq6ic3a8IAMItZ3sFdmeR4d5/o7seT3Jpk37Ix70xyc3c/kiTd/eB8pwkAazNL4C5O8sDU7ZOTbdNeneTVVfVPVXW0qvac6YGq6mBVLVbV4unTp9c3YwCYwbwOMtmWZFeSq5IcSPKXVfXS5YO6+1B3L3T3wvbt2+f01ADwdLME7lSSS6Zu75hsm3YyyeHu/u/u/k6Sb2YpeACwJWYJ3F1JdlXVzqo6P8n+JIeXjfn7LL17S1VdlKWPLE/Mb5oAsDarBq67n0hyfZI7ktyX5LbuvreqbqqqvZNhdyR5qKqOJbkzyR9090ObNWkAWE1195Y88cLCQi8uLm7JcwPw7FVVd3f3wkYfx5lMABiSwAEwJIEDYEgCB8CQBA6AIQkcAEMSOACGJHAADEngABiSwAEwJIEDYEgCB8CQBA6AIQkcAEMSOACGJHAADEngABiSwAEwJIEDYEgCB8CQBA6AIQkcAEMSOACGJHAADEngABiSwAEwJIEDYEgCB8CQBA6AIQkcAEMSOACGJHAADEngABiSwAEwJIEDYEgCB8CQBA6AIQkcAEMSOACGJHAADEngABiSwAEwJIEDYEgzBa6q9lTV/VV1vKpueIZxb6mqrqqF+U0RANZu1cBV1XlJbk5yTZLdSQ5U1e4zjHtxkt9P8pV5TxIA1mqWd3BXJjne3Se6+/EktybZd4ZxH0zyoSQ/nOP8AGBdZgncxUkemLp9crLt/1TVFUku6e5/eKYHqqqDVbVYVYunT59e82QBYFYbPsikqp6X5E+TvHe1sd19qLsXunth+/btG31qAFjRLIE7leSSqds7Jtue9OIkP5PkS1X13SSvT3LYgSYAbKVZAndXkl1VtbOqzk+yP8nhJ+/s7h9090Xd/crufmWSo0n2dvfipswYAGawauC6+4kk1ye5I8l9SW7r7nur6qaq2rvZEwSA9dg2y6DuPpLkyLJtN64w9qqNTwsANsaZTAAYksABMCSBA2BIAgfAkAQOgCEJHABDEjgAhiRwAAxJ4AAYksABMCSBA2BIAgfAkAQOgCEJHABDEjgAhiRwAAxJ4AAYksABMCSBA2BIAgfAkAQOgCEJHABDEjgAhiRwAAxJ4AAYksABMCSBA2BIAgfAkAQOgCEJHABDEjgAhiRwAAxJ4AAYksABMCSBA2BIAgfAkAQOgCEJHABDEjgAhiRwAAxJ4AAYksABMCSBA2BIMwWuqvZU1f1VdbyqbjjD/e+pqmNVdU9VfaGqXjH/qQLA7FYNXFWdl+TmJNck2Z3kQFXtXjbsq0kWuvtnk9ye5E/mPVEAWItZ3sFdmeR4d5/o7seT3Jpk3/SA7r6zux+d3DyaZMd8pwkAazNL4C5O8sDU7ZOTbSu5LsnnNjIpANiobfN8sKp6a5KFJG9c4f6DSQ4myaWXXjrPpwaAp5jlHdypJJdM3d4x2fYUVXV1kvcn2dvdj53pgbr7UHcvdPfC9u3b1zNfAJjJLIG7K8muqtpZVecn2Z/k8PSAqro8ycezFLcH5z9NAFibVQPX3U8kuT7JHUnuS3Jbd99bVTdV1d7JsA8neVGSz1TV16rq8AoPBwBnxUzfwXX3kSRHlm27cer61XOeFwBsiDOZADAkgQNgSAIHwJAEDoAhCRwAQxI4AIYkcAAMSeAAGJLAATAkgQNgSAIHwJAEDoAhCRwAQxI4AIYkcAAMSeAAGJLAATAkgQNgSAIHwJAEDoAhCRwAQxI4AIYkcAAMSeAAGJLAATAkgQNgSAIHwJAEDoAhCRwAQxI4AIYkcAAMSeAAGJLAATAkgQNgSAIHwJAEDoAhCRwAQxI4AIYkcAAMSeAAGJLAATAkgQNgSAIHwJBmClxV7amq+6vqeFXdcIb7X1BVfze5/ytV9cq5zxQA1mDVwFXVeUluTnJNkt1JDlTV7mXDrkvySHf/VJKPJPnQvCcKAGsxyzu4K5Mc7+4T3f14kluT7Fs2Zl+Sv5lcvz3Jm6qq5jdNAFibWQJ3cZIHpm6fnGw745jufiLJD5L8xDwmCADrse1sPllVHUxycHLzsar6xtl8/rPsJVkK/bPdRUm+v46fO1de33qd7de33nVYL+t3Zmd7HdZr9PX76Xk8yCyBO5XkkqnbOybbzjTmZFVty9Iv/6HlD9Tdh5IcSpKqWuzuhfVM+lxQVYe6++DqI7fWetfhXHl963W2X9/Z3h+s34o/d078ufQcWL/FeTzOLB9R3pVkV1XtrKrzk+xPcnjZmMNJ3ja5/mtJvtjdPY8JnsM+u9UT2GRe37nN6zu3jf765mLVd3Dd/URVXZ/kjiTnJflEd99bVTclWezuw0n+Osmnq+p4koezFMHntO4e+l9Ar+/c5vWd20Z/ffMy03dw3X0kyZFl226cuv7DJL++xuc+tMbxbA7r8OxgHZ4drMOzw1zWoXySCMCInKoLgCFtSuA2cmqvqnrfZPv9VfXmzZjfc8UM6/CeqjpWVfdU1Req6hVT9/2oqr42uSw/qIg1mGEd3l5Vp6d+3781dd/bqupbk8vblv8ss5thHT4ytQbfrKr/nLrP/jAHVfWJqnpwpb8iVks+Olmje6rqiqn71r4vdPdcL1k6EOXbSV6V5PwkX0+ye9mY303yscn1/Un+bnJ992T8C5LsnDzOefOe43PhMuM6/EKSH5tc/50n12Fy+7+2+jWMcJlxHd6e5M/O8LMvS3Ji8s8LJ9cv3OrXdC5eZlmHZePfnaUD6p68bX+Yzzr8fJIrknxjhfuvTfK5JJXk9Um+Mtm+rn1hM97BbeTUXvuS3Nrdj3X3d5Icnzwea7fqOnT3nd396OTm0Sz9HUfma5b9YSVvTvL57n64ux9J8vkkezZpnqNb6zocSHLLWZnZc0h3fzlLR9qvZF+ST/WSo0leWlUvzzr3hc0I3EZO7TXLzzKbtf4ur8vSfzk96YVVtVhVR6vqVzZhfs8Vs67DWyYfydxeVU+eWMH+MD8z/y4nH9XvTPLFqc32h7NjpXVa175wVk/VxbNTVb01yUKSN05tfkV3n6qqVyX5YlX9a3d/e2tmOLzPJrmlux+rqt/O0qcbv7jFc3ou25/k9u7+0dQ2+8M5aDPewa3l1F5ZdmqvWX6W2cz0u6yqq5O8P8ne7n7sye3dfWryzxNJvpTk8s2c7MBWXYfufmjqd/9XSV43688ys7X8Lvdn2ceT9oezZqV1Wt++sAlfIm7L0heAO/P/X+a+dtmYd+WpB5ncNrn+2jz1IJMTcZDJZq7D5Vn64n3Xsu0XJnnB5PpFSb6VZ/hC3mXD6/Dyqeu/muTo5PrLknxnsh4XTq6/bKtf07l4mWUdJuMuS/LdTP6O8GSb/WG+a/HKrHyQyS/nqQeZ/Mtk+7r2hbl/RNkbOLXXZNxtSY4leSLJu/qpHxMwoxnX4cNJXpTkM5P/fd/3untvktck+XhV/U+W3uX/cXcf25IXco6bcR1+r6r2Zunf+YezdFRluvvhqvpgls4HmyQ3dfczfUHPCmZch2Tpz6Jbe/Kn6oT9YU6q6pYkVyW5qKpOJvlAkucnSXd/LEtnzLo2SwcYPprkHZP71rUvOJMJAENyJhMAhiRwAAxJ4AAYksABMCSBA2BIAgfAkAQOgCEJHABD+l+garQFuFb+TwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.ticker as ticker\n",
    "fig, ax = plt.subplots(layout='constrained')\n",
    "ax.xaxis.set_major_locator(ticker.FixedLocator([0.,0.25,0.5,0.75,1]))\n",
    "ax.xaxis.set_minor_locator(ticker.FixedLocator(np.linspace(0,1,8)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 217,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.ticker as ticker\n",
    "fig, ax = plt.subplots(layout='constrained')\n",
    "ax.xaxis.set_major_locator(ticker.LinearLocator(5))\n",
    "ax.xaxis.set_minor_locator(ticker.LinearLocator(10))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### LinearLocator(5)，表示在x轴上有5个刻度，将x轴分成4段\n",
    "#### set_minor_locator(ticker.LinearLocator(10))，表示在x轴上，次刻度线有10个刻度，其中第1个和第10个刻度，与主刻度线重合"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.ticker as ticker\n",
    "fig, ax = plt.subplots(layout='constrained')\n",
    "ax.plot(range(0, 5), [0]*5, color='k')\n",
    "ax.xaxis.set_major_locator(ticker.IndexLocator(base=0.5, offset=0.25))\n",
    "# 第一个刻度是0.25，之后每隔0.5取一个刻度"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 238,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0, 0, 0, 0, 0]"
      ]
     },
     "execution_count": 238,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[0]*5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 242,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(layout='constrained')\n",
    "ax.xaxis.set_major_locator(ticker.AutoLocator())\n",
    "ax.xaxis.set_minor_locator(ticker.AutoMinorLocator())\n",
    "ax.yaxis.set_major_locator(ticker.AutoLocator())\n",
    "ax.yaxis.set_minor_locator(ticker.AutoMinorLocator())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 246,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# MaxN Locator\n",
    "fig, ax = plt.subplots(layout='constrained')\n",
    "ax.xaxis.set_major_locator(ticker.MaxNLocator(5))\n",
    "ax.xaxis.set_minor_locator(ticker.MaxNLocator(40))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### MaxNLocator(5)，表示在x轴上分成5段，共6个刻度"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 249,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(layout='constrained')\n",
    "ax.set_xlim(10**3, 10**10)\n",
    "ax.set_xscale('log')\n",
    "ax.xaxis.set_major_locator(ticker.LogLocator(base=10, numticks=15))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(layout='constrained')\n",
    "ax.xaxis.set_major_locator(ticker.LinearLocator(5))\n",
    "ax.xaxis.set_major_formatter('{x} km')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(layout='constrained')\n",
    "ax.xaxis.set_major_locator(ticker.LinearLocator(5))\n",
    "ax.xaxis.set_major_formatter(lambda x, pos: str(x-5)+\"$\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在这段代码中，pos 是 set_major_formatter 方法的一个参数，它代表刻度位置的归一化值，范围从 0 到 1。这个参数通常用于格式化刻度标签，但它在这里实际上没有被用到。\n",
    "\n",
    "set_major_formatter 方法用于设置刻度标签的格式。在这个例子中，lambda x, pos: str(x-5)+\"$\" 是一个匿名函数，它接受两个参数：x 和 pos。\n",
    "\n",
    "x 是刻度的实际数值。\n",
    "pos 是刻度位置的归一化值，它表示刻度在轴上的位置，从 0（轴的起始位置）到 1（轴的结束位置）。\n",
    "在这个匿名函数中，pos 被传入但并没有在函数体中使用。函数的作用是将每个刻度的值减去 5，然后将结果转换为字符串，并在末尾加上一个美元符号 $ 作为单位。这样，如果刻度的值是 10，那么显示的标签将是 \"5$\"。\n",
    "\n",
    "简而言之，pos 在这个上下文中是一个可选的参数，用于提供刻度位置的信息，但在当前的格式化函数中并没有被实际使用。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 278,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(layout='constrained')\n",
    "ax.xaxis.set_major_formatter(ticker.NullFormatter())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 284,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(layout='constrained')\n",
    "ax.xaxis.set_major_formatter(ticker.StrMethodFormatter(\"{x:.5f}\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 289,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(layout='constrained')\n",
    "ax.xaxis.set_major_formatter(ticker.FormatStrFormatter(\"***#%d\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 294,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def fmt_two_digits(x, pos):\n",
    "    return f'[{x:.2f}]'\n",
    "fig, ax = plt.subplots(layout='constrained')\n",
    "ax.xaxis.set_major_formatter(ticker.FuncFormatter(fmt_two_digits))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 302,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "positions = [0, 0.2, 0.4, 0.6, 0.8, 1]\n",
    "labels = ['AAAA', 'B', 'C', 'D', 'E', 'F']\n",
    "fig, ax = plt.subplots(layout='constrained')\n",
    "ax.xaxis.set_major_locator(ticker.FixedLocator(positions))\n",
    "ax.xaxis.set_major_formatter(ticker.FixedFormatter(labels))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 327,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(layout='constrained')\n",
    "ax.xaxis.set_major_formatter(ticker.PercentFormatter(xmax=0.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 355,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 460.8x230.4 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax= plt.subplots( figsize=(6.4, 3.2), layout='constrained')\n",
    "ax.plot(np.arange(100))\n",
    "ax.grid(\"on\")\n",
    "ax.tick_params(right=True, left=False, axis='y', color='r', length=16,\n",
    "                grid_color='none')\n",
    "ax.tick_params(axis='x', color='blue', length=10, direction='in', width=4,\n",
    "                labelcolor='C0', grid_color='k',labelrotation=45,grid_linestyle=\"-\",grid_linewidth=2)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
